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Finding the Fourth Proportional to 157.82, 217.50 and 114.08

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Solution

The fourth proportional to 157.82, 217.50 and 114.08 is: 157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.82 : 217.50 = 114.08 : x
  2. Step 2: Convert to fraction form
    157.82/217.50 = 114.08/x
  3. Step 3: Cross multiply
    157.82x = 217.50 × 114.08
  4. Step 4: Simplify right side
    157.82x = 24,812.40
  5. Step 5: Solve for x
    x = 24,812.40/157.82
  6. Step 6: Final answer
    x = 157.22

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